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Question

Question: A card is drawn at random from a pack of 52 cards. The probability of drawing a card which is neithe...

A card is drawn at random from a pack of 52 cards. The probability of drawing a card which is neither a heart nor a king is-

A

913\frac { 9 } { 13 }

B

413\frac { 4 } { 13 }

C

1013\frac { 10 } { 13 }

D

None of these

Answer

913\frac { 9 } { 13 }

Explanation

Solution

Required probability = 1 – P (heart or king) = 1 – (P(H) +

P(K) – P( H З K))

= 1 – (1352+452152)\left( \frac { 13 } { 52 } + \frac { 4 } { 52 } - \frac { 1 } { 52 } \right)= 3652\frac { 36 } { 52 } = 913\frac { 9 } { 13 }